Graph the system of equations.{8x+8y=642x−2y=−4

Answer:We can use the x- and y-intercepts to graph. The x-intercept of the first equation is 8, and the y-intercept is 8. The x-intercept of the second equation is -2, and the y-intercept is 2. x-intercepts are where the data crosses the x-axis. At every one of these points, the y-coordinate will be 0; therefore we can substitute 0 for y and solve to get the value of the x-intercept. For the first equation, we would have 8x+8(0)=64 8x=64. Divide both sides by 8: 8x/8 = 64/8 x=8. For the second equation, 2x-2(0)=-4 2x=-4. Divide both sides by 2: 2x/2 = -4/2 x=-2. y-intercepts are where the data crosses the y-axis. At every one of these points, the x-coordinate will be 0; therefore we can substitute 0 for x and solve to get the value of the y-intercept. For the first equation, 8(0)+8y=64 8y=64. Divide both sides by 8: 8y/8 = 64/8 y=8. For the second equation, 2(0)-2y=-4 -2y=-4. Divide both sides by -2: -2y/-2 = -4/-2 y=2. Plot these points for both equations and connect them to draw the line. Step-by-step explanation: